The amount of heat energy required to raise t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Helium is a monoatomic gas,so its degree of freedom $f = 3$.For a gas at constant volume,the heat energy required is given by $\Delta Q = \mu C_V

Vedclass · Accepted Answer

$\frac{3}{8}N_Ak_B(T_2-T_1)$

Vedclass · Answer

(D) Helium is a monoatomic gas,so its degree of freedom $f = 3$.For a gas at constant volume,the heat energy required is given by $\Delta Q = \mu C_V \Delta T$.The number of moles $\mu = \frac{	ext{mass}}{	ext{molar mass}} = \frac{1\, g}{4\, g/mol} = \frac{1}{4}\, mol$.The molar heat capacity at constant volume is $C_V = \frac{fR}{2} = \frac{3R}{2}$.Substituting these values,we get $\Delta Q = \frac{1}{4} 	imes \frac{3R}{2} 	imes (T_2 - T_1) = \frac{3R}{8}(T_2 - T_1)$.Since the universal gas constant $R = N_A k_B$,the heat energy is $\Delta Q = \frac{3}{8} N_A k_B (T_2 - T_1)$.

The amount of heat energy required to raise the temperature of $1\, g$ of Helium at $NTP$ from $T_1\, K$ to $T_2\, K$ is

Similar Questions

For all values of $\theta$,the values of $3-\cos \theta+\cos \left(\theta+\frac{\pi}{3}\right)$ lie in the interval :

Phenol reacts with $CHCl_3$ and $NaOH$ at $340 \ K$ to give .......

Electric potential at any point is $V = - 5x + 3y + \sqrt {15} z$,then the magnitude of the electric field is

Identify $B$ in the following reaction:
$H_4SiO_4$ $\xrightarrow[1000^{\circ}C]{-2H_2O} A$ $\xrightarrow[\Delta]{\text{Carbon}} B + CO$

In an $A.C.$ circuit,$V$ and $I$ are given by $V = 100 \sin(100t) \ V$ and $I = 100 \sin(100t + \frac{\pi}{3}) \ mA$. The power dissipated in the circuit is ...... $W$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module