The amount of heat energy Q, used to heat up a substance depends on its mass m its specific heat capacity (s) and the change in temperatureΔTof the substance. Using dimensional method, find the expression for s is ( Given that [S]=[L^2T^-2−K^−1]) is
QmΔT
Q/mΔT
Qm/ΔT
m/QΔT

Answer:

J/(gK)

Explanation:

The equation for the energy, Q released or gained by a system of mass (m), specific heat capacity (s), and temperature change (ΔT) is given by:

Q = msΔT

Rearrange this to isolate c, the specific heat:

msΔT = Q

s = Q/(mΔT)

Q is energy and is commonly expressed in Joules (J).  We'll use this unit, but others such as calorie, kJ, BTU, etc., are possible.

m is the mass and is commonly expressed as grams (g).  Other units such as kg and even lbs are possible (but who uses English units in science?)  Let's select g.

ΔT is commonly expressed in Centigrade (C) or Kelvin (K).  OK, Fahrenheit(F) is also possible, but really?  We'll use K here.

Now put these units into the expression for s:

s = Q/(mΔT)

s = J/(gK)

Final answer:

The specific heat capacity of a substance, represented by the symbol 's', can be calculated using the equation s = Q/mΔT, where 'Q' is the heat energy, 'm' is the mass of the substance, and 'ΔT' is the change in temperature.

Explanation:

The specific heat capacity (s) is a property of a substance that determines how much heat energy (Q) it requires to change its temperature (ΔT). Mathematically, Q = msΔT. Therefore to find the expression for s, you should rearrange this equation to solve for s. This gives: s = Q/mΔT.

Learn more about Specific Heat Capacity here:

brainly.com/question/27640987

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