If a certain mass of mercury has a volume of 0.002 m3 at a temperature of 20°C, what will be the volume at 50°C? A. 0.002010812m3
B. 0.004021624m3
C. 0.002021624m3
D. 0.000010812m3

Answers

Answer 1
Answer:

As per the question the volume of mercury  is given as 0.002 m^3 at 20 degree Celsius.

We are asked to calculate the volume of the mercury at 50 degree Celsius.

This problem is based on thermal expansion of matter.

Let us consider the initial and final volume of the mercury is denoted as -

                                  v_(1) \ and\ v_(2)

Let the initial and final temperature of the mercury is denoted as -

                                                                    T_(1)\ and \ T_(2)

As per question

v_(1) =0.002 m^3                v_(2) =?

T_(1) =20^0 C                      T_(2) =50^0 C

The change in temperature is

                                             T_(2) -T_(1)

                                         = 50^0 C -20^0 C

                                               = 30^0 C

Mercury is a fluid.So we have to apply volume expansion of liquid .

The coefficient of of volume expansion of mercury [ \gamma ] at 20 degree Celsius is 0.00018 per centigrade.

As per volume expansion of liquid,

                                       V_(T) = v_(1) [1 +\gamma [T_(2) -T_(1) ]]

Here V_(T) is the volume at T degree Celsius.

Hence volume at 50 degree Celsius is calculated as-

                               v_(2) =v_(1) [1+\gamma[50-30]]

                                       = 0.002[1+0.00018*30]

                                       =0.0020108m^3  [ans]

As per the options given in the question ,option A is close to the calculated value. So option A is right.


Answer 2
Answer: The answer to this question lies in understanding the Combined Gas Law in chemistry, which combines Boyle's, Charles', and Gay-Lussac's gas laws. This law shows the relationship between pressure, volume, and temperature of gases and is represented by the equation P1V1/T1 = P2V2/T2. Changes in pressure (P) and volume (V) are directly proportional to one another, but these are inversely proportional to changes in temperature (T). This question must assume that pressure is constant, so the Ps cancel out and the equation becomes V1/T1 = V2/T2. Additionally, temperature should be converted to Kelvins (K) by adding 273 to the temperature in Celsius (so 20 C = 293 K, and 50 C = 323 K). If V1 = 0.002 and T1 = 293 and T2 = 323, then we solve the equation as V2 = T2*V1/T1 or V2 = (323*0.002)/293, so the answer is approximately equal to 0.0022... or answer (C).

Related Questions

If heat is transferred away from a gas, which could happen?A) The gas may explode. B) The gas may become a liquid as it loses energy. C) The heat capacity of the gas may increase.
Compare the characteristics of 4d orbitals and 3d orbitals and compared the following sentences. Check all that apply4d orbitals would __________ than 3d orbitalsa. be a closer to the nucleus b. be larger in sizec. hold more electionsd.have different shapese.have more nodes
A piece of wood and a piece of steel are at the same temperature; however, the steel feels hotter. This is because the steel has?
How far away is Earth from the Sun?a. 93 miles b. 93 thousand milesc. 93 million milesd. 93 billion miles
The Hubble telescope’s orbit is 5.6 × 105 meters above Earth’s surface. The telescope has a mass of 1.1 × 104 kilograms. Earth exerts a gravitational force of 9.1 × 104 Newtons on the telescope. The magnitude of Earth’s gravitational field strength at this location is

What is the electric field experienced by a charged balloon if the charge on the balloon is 9.4 × 10-10 coulombs and the force it experiences is 8.2 × 10-2 newtons?

Answers

Answer:

Electric field, E=8.72* 10^7\ N/C

Explanation:

It is given that,

Charge on the balloon, q=9.4* 10^(-10)\ C

Force experienced by the balloon, F=8.2* 10^(-2)\ N

The relation between electric force and electric field is given by :

E=(F)/(q)

E=(8.2* 10^(-2))/(9.4* 10^(-10))

E=8.72* 10^7\ N/C

Hence, the electric field experienced by a charged balloon is 8.72* 10^7\ N/C

We know, F = q.E
E = F/q
Here, F = 8.2 * 10⁻²
q = 9.4 * 10⁻¹⁰

Substitute values into the expression:
E = 8.2 * 10⁻² / 9.4 * 10⁻¹⁰
E = 8.72 * 10⁷ N/C

Hope this helps!

An object, m=1.7 kg, is dropped from a ladder 2 m off the ground. What is the velocity of the object right before its hits the ground?

Answers

v^2 = u^2 + 2as
u=0 m/s
a=g=10 m/s^2
s=2 m

What is the total energy of a 175,000kg shuttle orbiting the Earth at 600km above Earth's surface?

Answers

m = 175,000 kg
g = 10 m/s^2
h = 600,000 m

Ep = mgh
Ep = 1050 * 10^9 [J]

A neuron transfers information in the form of an electrical impulse.
a. True
b. False

Answers

A  - true 
A neuron transfers information to another neuron (synapses) in the form of electrical impulse. Due to this issue, the activity brain can be mesured.

What is the value of x in the equation below 1+2e^x+1=9

Answers

Answer: 1.252

Explanation:

We are given this equation and we need to find the value of x:

1+2e^x+1=9   (1)

Firstly, we have to clear x:

2e^x=9-1-1  

2e^x=7  

e^x=(7)/(2)     (2)

Applying Natural Logarithm on both sides of the equation (2):

ln(e^x)=ln((7)/(2))     (3)

xln(e)=ln((7)/(2))     (4)

According to the Natural Logarithm rulesxln(e)=x, so (4) can be written as:

x=ln((7)/(2))     (5)

Finally:

x=1.252    

A roller coaster with a potential energy of 235,200 J sits at the top of a 30 m high hill. What is the mass of the roller coaster? (Formula: PE = mgh)

Answers

A roller coaster with a potential energy of 235,200 J and sits at the top of a 30 m high hill has a mass equivalent to 799.18 kg. Using the formula of PE = mgh, all of the values are already known, so direct substitution can be used. PE is the potential energy, m is the mass, g is gravitational constant (9.81 m/s2), and h is the height.

Answer: its 800 kg thank me later  ;)