Question

What is the amount of heat required to raise the temperature of 2 moles of mono atomic gas under isobaric condition form 0 to 100 degree centigrade?

Answer 1

What is the amount of heat required to raise the temperature of 2 moles of mono atomic gas under isobaric condition form 0 to 100 degree centigrade?

Solution:

We have $\nu = 2$ mol $\Delta T = 100\ K$

Need to find Q.

Let Q – the heat required to raise temperature from 273K to 373 K

A – work which makes gas

$\Delta U$ – increase in the internal energy of the gas

So $Q = A + \Delta U$

In isobaric variant we have: $A = p \Delta V = \nu R \Delta T$

for mono atomic gas -> $\Delta U = \frac{3}{2} \nu R \Delta T$

So $Q = \nu R \Delta T + \frac{3}{2} \nu R \Delta T = \frac{5}{2} \nu R \Delta T = \frac{5}{2} \cdot 2 \cdot 8.31 \cdot 100 = 4155\ \text{J}$

Answer: 4155 J