The volume of $1\, g$ each of methane $(CH_4)$,ethane $(C_2H_6)$,propane $(C_3H_8)$,and butane $(C_4H_{10})$ was measured at $350\, K$ and $1\, atm$. What is the volume of butane in $cm^{3}$?

For an ideal gas,what is the nature of the $pV$ versus $p$ graph at a constant temperature?

An ideal gas on isothermal reversible compression from $10 \ L$ to $5 \ L$ performs $1730 \ J$ of work at $300 \ K$. Calculate the number of moles of gas involved in the compression? $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

Match the following graphs of a gas with their corresponding $y$ and $x$ coordinates:

Graph	Coordinates ($y$ vs $x$)
$(A)$ Hyperbola	$1. \ y = PV, x = V$
$(B)$ Straight line passing through origin	$2. \ y = P, x = V$
$(C)$ Horizontal line parallel to $x$-axis	$3. \ y = P, x = 1/V$

If $R = 0.082$,write it with its units and state the value with full precision.

$A$ weather balloon filled with hydrogen at $1 \, atm$ and $27 \, ^oC$ has a volume equal to $12000 \, L$. On ascending,it reaches a place where the temperature is $-23 \, ^oC$ and the pressure is $0.5 \, atm$. The volume of the balloon is .............. $L$.