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

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Solution

According to Charle's law, at constant pressure, the volume of a gas is directly proportional to its temperature, or simply

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

$\frac{100}{373} = \frac{200}{T_{2}}$

$T_{2} = 200 \times \frac{373}{100}$

$\Rightarrow T_{2} = 746 K$

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

According to Charle's law, at constant pressure, the volume of a gas is directly proportional to its temperature, or simplyV1T1=V2T2100373=200T2T2=200×373100⇒T2=746 K

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

According to Charle's law, at constant pressure, the volume of a gas is directly proportional to its temperature, or simply

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

$\frac{100}{373} = \frac{200}{T_{2}}$

$T_{2} = 200 \times \frac{373}{100}$

$\Rightarrow T_{2} = 746 K$