A certain amount of an ideal monoatomic gas needs 200 J of heat energy to raise its temperature by 10° C at constant pressure. The heat needed for the same temperature rise of the same gas but at constant volume will be:

Question

A certain amount of an ideal monoatomic gas needs 200 J of heat energy to raise its temperature by 10° C at constant pressure. The heat needed for the same temperature rise of the same gas but at constant volume will be: (A) 300 J (B) 120 J (C) 2000 J (D) 400 J

Tardigrade Admin · Accepted Answer

(( Q ) V /( Q ) P )=( C V / C P )=(1/&gamma;)=(3/5) ( Q ) V =120 J

Q. A certain amount of an ideal monoatomic gas needs $200 J$ of heat energy to raise its temperature by $1 0^{\circ} C$ at constant pressure. The heat needed for the same temperature rise of the same gas but at constant volume will be:

$300 J$

$120 J$

$2000 J$

$400 J$

$\frac{( Q ) _{V}}{( Q ) _{P}} = \frac{C _{V}}{C _{P}} = \frac{1}{γ} = \frac{3}{5}$
$(Q)_{V} = 120 J$

Q. A certain amount of an ideal monoatomic gas needs 200J of heat energy to raise its temperature by 10∘C at constant pressure. The heat needed for the same temperature rise of the same gas but at constant volume will be:

300J

120J

2000J

400J