Class 11PhysicsKinetic Theory of GasesMolar Specific Heat of gas and relation between them (Mayer's formula)
MediumOne mole of an ideal monatomic gas requires $210 \, J$ of heat to raise the temperature by $10 \, K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by $10 \, K$,then the heat required is ....... $J$.
- A$238$
- B$126$
- C$210$
- D$350$
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Similar Questions
If $\frac{R}{C_v} = 0.67$,identify the gas.
Medium
View Solution$c_P$ and $c_V$ are specific heats at constant pressure and constant volume respectively. It is observed that
$c_P - c_V = a$ for hydrogen gas
$c_P - c_V = b$ for nitrogen gas
The correct relation between $a$ and $b$ is
$c_P - c_V = a$ for hydrogen gas
$c_P - c_V = b$ for nitrogen gas
The correct relation between $a$ and $b$ is
If $c_p$ and $c_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$,then which of the following relations holds true,where $R$ is the molar gas constant?
Column-$I$ represents the type of gas and Column-$II$ represents the ${C_P}$ value for that type of gas. Match them correctly:
Column-$I$ Column-$II$ $(a)$ Monoatomic gas $(i)$ ${C_P} = \frac{3}{2}R$ $(b)$ Diatomic gas with vibration $(ii)$ ${C_P} = \frac{5}{2}R$ $(iii)$ ${C_P} = \frac{7}{2}R$ $(iv)$ ${C_P} = \frac{9}{2}R$
| Column-$I$ | Column-$II$ |
| $(a)$ Monoatomic gas | $(i)$ ${C_P} = \frac{3}{2}R$ |
| $(b)$ Diatomic gas with vibration | $(ii)$ ${C_P} = \frac{5}{2}R$ |
| $(iii)$ ${C_P} = \frac{7}{2}R$ | |
| $(iv)$ ${C_P} = \frac{9}{2}R$ |
Easy
View Solution$A$ polyatomic gas with $6$ degrees of freedom does $25 \ J$ of work when it is expanded at constant pressure. The heat given to the gas is ..... $J$.
Difficult
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