The same mass of $CH_4$ and $H_2$ is taken in a container. The partial pressure caused by $H_2$ is:

$A$ cylinder of cooking gas in a household contains $11.6 \, kg$ of butane. The thermochemical reaction for the combustion of butane is,
$2 C_4H_{10(g)} + 13 O_{2(g)} \longrightarrow 8 CO_{2(g)} + 10 H_2O_{(l)}$
$\Delta H = -2658 \, kJ/mol$
If the household needs $15000 \, kJ$ of energy per day,the cooking gas cylinder will last for about $...... \, days$.

$A$ hydrocarbon containing $C$ and $H$ has $92.3 \% C$. When $39 \ g$ of hydrocarbon was completely burnt in $O_2$,$x$ moles of water and $y$ moles of $CO_2$ were formed. $x$ moles of water is sufficient to liberate $0.75$ moles of $H_2$ with $Na$ metal. What is the weight (in $g$) of oxygen consumed? $(C=12 \ u; H=1 \ u)$

For the complete combustion of $15 \ mL$ of a gaseous hydrocarbon at $300 \ K$ and $1 \ atm$ pressure,$375 \ mL$ of air containing $20\% \ O_2$ by volume is required. After combustion,the gases occupy $330 \ mL$. Assuming that the water formed is in liquid state and the volumes are measured at the same temperature and pressure,find the formula of the hydrocarbon.

At $300 \ K$ and $1 \ \text{atm}$ pressure,$10 \ mL$ of a hydrocarbon required $55 \ mL$ of $O_2$ for complete combustion,and $40 \ mL$ of $CO_2$ is formed. The formula of the hydrocarbon is

Find the volume of $56 \ g$ of dinitrogen $(N_2)$ at $STP$. (in $L$)