$A$ balloon contains $1500 \, m^3$ of helium at $27^\circ C$ and $4 \, atm$ pressure. The volume of helium at $-3^\circ C$ temperature and $2 \, atm$ pressure will be ...... $m^3$.

Explain why the pressure inside a tyre increases when a vehicle moves for a long period of time.

The figure shows two flasks connected to each other. The volume of flask $1$ is twice that of flask $2$. The system is filled with an ideal gas at temperatures $100\, K$ and $200\, K$ respectively. If the mass of the gas in flask $1$ is $m$,what is the mass of the gas in flask $2$?

The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pressures of the gas?

For a monoatomic gas at constant pressure,the $V \rightarrow T$ graph is . . . . . .

For a given mass of a gas at constant temperature, the volume and the pressure are $V$ and $P$ respectively. Then the slope of the graph drawn between $\log_e V$ on the $X$-axis and $\log_e P$ on the $Y$-axis is