32 g of O2 is contained in a cubical container of side 1 m and maintained at a temperature of 127° C . The isothermal bulk modulus of elasticity of the gas is (universal gas constant = R )

Question

32 g of O2 is contained in a cubical container of side 1 m and maintained at a temperature of 127° C . The isothermal bulk modulus of elasticity of the gas is (universal gas constant = R ) (A) 127R (B) 400R (C) 200R (D) 560R

Tardigrade Admin · Accepted Answer

The bulk modulus of elasticity at a constant temperature PV=nRT (d P/P)=(d V/V) B= -(d P/d V / V) B=P B=(n R T/V)=( R (400)/13)=400R

Q. $32 g$ of $O_{2}$ is contained in a cubical container of side $1 m$ and maintained at a temperature of $12 7^{\circ} C$ . The isothermal bulk modulus of elasticity of the gas is (universal gas constant = $R$ )

$127 R$

$400 R$

$200 R$

$560 R$

The bulk modulus of elasticity at a constant temperature
$P V = n RT$
$\frac{d P}{P} = \frac{d V}{V}$
$B = - \frac{d P}{d V / V}$
$B = P$
$B = \frac{n RT}{V} = \frac{R ( 400 )}{1 ^{3}} = 400 R$

Q. 32g of O2​ is contained in a cubical container of side 1m and maintained at a temperature of 127∘C . The isothermal bulk modulus of elasticity of the gas is (universal gas constant = R )

127R

400R

200R

560R