A volume of a gas at 20°C is 100 cm3 at normal pressure. If it is heated to 100°C its volume becomes 125 cm at the same pressure the volume coefficient of the gas will be normal pressure) :

Question

A volume of a gas at 20°C is 100 cm3 at normal pressure. If it is heated to 100°C its volume becomes 125 cm at the same pressure the volume coefficient of the gas will be normal pressure) : (A)  0.0021/oC  (B)  0.0025/oC  (C)  0.0030/oC  (D)  0.0033/oC

Tardigrade Admin · Accepted Answer

The volume coefficient is given by α =(V2-V1/V1T2-V2T1) Given, T1=20°C, V1=100 cm3, T2=100°C , V2=125 cm3 ⇒ α =(125-100/(100× 100)-(125× 20)) =(25/10000-2500) =(75/7500)=0.0033/°C .

Q. A volume of a gas at $20^{\circ} C$ is $100 c m^{3}$ at normal pressure. If it is heated to $100^{\circ} C$ its volume becomes $125 c m$ at the same pressure the volume coefficient of the gas will be normal pressure) :

$0.0021 /^{o} C$

$0.0025 /^{o} C$

$0.0030 /^{o} C$

$0.0033 /^{o} C$

Q. A volume of a gas at 20∘C is 100cm3 at normal pressure. If it is heated to 100∘C its volume becomes 125cm at the same pressure the volume coefficient of the gas will be normal pressure) :

0.0021/oC

0.0025/oC

0.0030/oC

0.0033/oC

The volume coefficient is given by α=V1​T2​−V2​T1​V2​−V1​​ Given, T1​=20∘C, V1​=100cm3, T2​=100∘C , V2​=125cm3 ⇒α=(100×100)−(125×20)125−100​ =10000−250025​ =750075​=0.0033/∘C .

Q. A volume of a gas at $20^{\circ} C$ is $100 c m^{3}$ at normal pressure. If it is heated to $100^{\circ} C$ its volume becomes $125 c m$ at the same pressure the volume coefficient of the gas will be normal pressure) :

$0.0021 /^{o} C$

$0.0025 /^{o} C$

$0.0030 /^{o} C$

$0.0033 /^{o} C$