An ideal gas has molar specific heat 5 R/2 at constant pressure. If 300 J of heat is given to two moles of gas at constant pressure, the change in temperature is

Question

An ideal gas has molar specific heat 5 R/2 at constant pressure. If 300 J of heat is given to two moles of gas at constant pressure, the change in temperature is (A)  7.22° C  (B)  8.94° C  (C) zero (D)  5° C

Tardigrade Admin · Accepted Answer

The heat required at constant pressure Q=n Cp Δ T ∴ Change in temperature Δ T=(Q/n Cp) Here: Q=300 J, n=2 mole Cp=(5/2) R R, the gas constant =8.31 J m o l-1 K -1 ∴ Δ T=(300/2 × (5)2 × 8.31) =(300/5 × 8.31)=7.22° C

Q. An ideal gas has molar specific heat $5 R /2$ at constant pressure. If $300 J$ of heat is given to two moles of gas at constant pressure, the change in temperature is

$7.2 2^{\circ} C$

$8.9 4^{\circ} C$

zero

$5^{\circ} C$

Q. An ideal gas has molar specific heat 5R/2 at constant pressure. If 300J of heat is given to two moles of gas at constant pressure, the change in temperature is

7.22∘C

8.94∘C

zero

5∘C

The heat required at constant pressure Q=nCp​ΔT ∴ Change in temperature ΔT=nCp​Q​ Here: Q=300J,n=2 mole Cp​=25​R R, the gas constant =8.31Jmol−1K−1 ∴ΔT=2×25​×8.31300​ =5×8.31300​=7.22∘C

Q. An ideal gas has molar specific heat $5 R /2$ at constant pressure. If $300 J$ of heat is given to two moles of gas at constant pressure, the change in temperature is

$7.2 2^{\circ} C$

$8.9 4^{\circ} C$

$5^{\circ} C$