Question

Assertion :In isobaric process, V-T graph is a straight line passing through origin. Slope of this line is directly proportional to mass of the gas. V is taken on y-axis. Reason: $V=\left(\frac{nR}{P}\right)T$ $\Rightarrow slope\propto norslope\propto m$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

V-T graphs being a straight line suggests that its slope is constant.

According to Ideal Gas Law, $PV=nRT$

Slope of V-T graph=$\frac{V}{T}=\frac{nR}{P}$

Since $n$ is the number of moles of gas, it is proportional to the mass of the gas.