Question

At 0℃ and 760mm of hg pressure , a gas occupies a volume of 100cm^3. The kelvin temperature (absolute temperature) of the gas is increased by one fifth while the pressure is increased one and a half times . Calculate the final volume of the gas

Answer 1

80 cc now please follow me

Answer 2

Answer:

• $80\:cm^{3}$

Explanation:

Given,

$T_{1} = 0^{\circ} = 273\:K\:and \:P_{1} = 780mm\:of\:,Hg$

$T_{2} = 273+\frac{273}{5}= 327.6 K \:$

$P_{2}= 760+\frac{760}{2}=1140mm \:of\:Hg$

$According\:to\:ideal\:gas\: equation\:\:\:\:\:\:(PV= nRT in both cases)$

$V_{2}= \frac{327.6\times 760\times 100}{273\times 1140}$

$\implies\:\:\frac{327.6\times2\times100}{273\times 3}$

$\implies\:\:\frac{65520}{273\times 3}$

$\implies\:\:\frac{240}{3}$

$\implies\:\:80$