91.
A plot of volume $$(V)$$ versus temperature $$(T)$$ for a gas at constant pressure is a straight line passing through the origin. The plots at different values of pressure are shown in figure.
Which of the following order of pressure is correct for this gas ?
92.
A mixture of gases contains $${H_2}$$ and $${O_2}$$ gases in the ratio of $$1:4\left( {w/w} \right).$$ What is the molar ratio of the two gases in the mixture?
97.
When one mole of monoatomic ideal gas at $$T\,K$$ undergoes adiabatic change under a constant external pressure of 1 atm volume changes from 1 litre to 2 litre. The final temperature in Kelvin would be
A
$$\frac{T}{{{2^{\left( {\frac{2}{3}} \right)}}}}$$
99.
Equal masses of $${H_2},{O_2}$$ and methane have been taken in a container of volume $$V$$ at temperature $${27^ \circ }C$$ in identical conditions. The ratio of the volumes of gases $${H_2}:{O_2}:C{H_4}$$ would be
According to Avogadro's hypothesis,
Volume of a gas $$(V) \propto $$ number of moles $$(n)$$
Therefore, the ratio of the volumes of gases can be determined in terms of their moles.
∴ The ratio of volumes of $${H_2}:{O_2}:{\text{methane}}\left( {C{H_4}} \right)$$ is
given by
$$\eqalign{
& {V_{{H_2}}}:{V_{{O_2}}}:{V_{C{H_4}}} = {n_{{H_2}}}:{n_{{O_2}}}:{n_{C{H_4}}} \cr
& \Rightarrow {V_{{H_2}}}:{V_{{O_2}}}:{V_{C{H_4}}}:\, = \frac{{{m_{{H_2}}}}}{{{M_{{H_2}}}}}:\frac{{{m_{{O_2}}}}}{{{M_{{O_2}}}}}:\frac{{{m_{C{H_4}}}}}{{{M_{C{H_4}}}}} \cr} $$
$${\text{Given,}}$$ $${m_{{H_2}}} = {m_{{O_2}}} = {m_{C{H_4}}} = m$$ $$\left[ {\because \,n = \frac{{{\text{mass}}}}{{{\text{molar}}\,{\text{mass}}}}} \right]$$
$${\text{Thus}},$$ $${V_{{H_2}}}:{V_{{O_2}}}:{V_{C{H_4}}} = \frac{m}{2}:\frac{m}{{32}}:\frac{m}{{16}}$$ $$ = 16:1:2$$
100.
If $$p, V, M, T$$ and $$R$$ are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by