Question

When a small amount of heat $\Delta Q$ is added to an enclosed gas, then increase in internal energy and external work done are related as

• A. $m C_{V} \Delta T=\Delta Q+p \Delta V$
• B. $\Delta Q=m C_{V} \Delta T+p \Delta V$
• C. $m C_{V}=\Delta Q+p \Delta V$
• D. $\Delta Q=m C_{p} \Delta T+p \Delta V$

Answer 1

Answer: (B)

$As , \Delta Q=\Delta U+\Delta W=m C_{V}(\Delta T)+p(\Delta V)$