One mole of O2 gas is heated at constant pressure starting at 27oC. How much energy must be added to the gas as heat to double its volume?

Question

One mole of O2 gas is heated at constant pressure starting at 27oC. How much energy must be added to the gas as heat to double its volume? (A) 750 R (B) Zero (C) 1050 R (D) 450 R

Tardigrade Admin · Accepted Answer

At constant pressure it volume is doubled, temperate gets doubled, T1=300 k, T2=600 k hence Δ T=600-300=300k Q=ncp Δ T=1×(7/2) R×300=1050 R

Q. One mole of $O_{2}$ gas is heated at constant pressure starting at $2 7^{o}$ C. How much energy must be added to the gas as heat to double its volume?

750 R

Zero

1050 R

450 R

At constant pressure it volume is doubled, temperate gets doubled,
$T_{1} = 300 k, T_{2} = 600 k$
$h e n ce Δ T = 600 - 300 = 300 k$
$Q = n c_{p} Δ T = 1 \times \frac{7}{2} R \times 300 = 1050 R$

Q. One mole of O2​ gas is heated at constant pressure starting at 27oC. How much energy must be added to the gas as heat to double its volume?