The volume of a given mass of a gas is 100 ml at $100^{o} C$ . If the pressure is kept constant at what temperature (in $^{0} C$ ) will the sample have the volume of 200 ml?

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Solution

At constant pressure,
$V_{1} = 100 m l$
$T_{1} = 100^{o} C = 100 + 273 = 373 K$
$V_{2} = 200 m l$
$T_{2} = ?$
$\frac{V_{1}}{T_{1}} = \frac{V_{1}}{T_{2}}$
$\frac{100}{373} = \frac{200}{T_{2}}$
$T_{2} = 746 K$ (or) $T = 746 - 273 = 473^{o} C$

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The volume of a given mass of a gas is 100 ml at 100oC. If the pressure is kept constant at what temperature (in 0C) will the sample have the volume of 200 ml?

At constant pressure,V1=100mlT1=100oC=100+273=373KV2=200mlT2=?V1T1=V1T2100373=200T2T2=746K (or) T=746−273=473oC

The volume of a given mass of a gas is 100 ml at $100^{o} C$ . If the pressure is kept constant at what temperature (in $^{0} C$ ) will the sample have the volume of 200 ml?

At constant pressure,
$V_{1} = 100 m l$
$T_{1} = 100^{o} C = 100 + 273 = 373 K$
$V_{2} = 200 m l$
$T_{2} = ?$
$\frac{V_{1}}{T_{1}} = \frac{V_{1}}{T_{2}}$
$\frac{100}{373} = \frac{200}{T_{2}}$
$T_{2} = 746 K$ (or) $T = 746 - 273 = 473^{o} C$