Equation of State of Perfect Gas — Prelims Questions

A gas occupies a volume of $20\,\text{L}$ at $27^\circ\text{C}$ and $1\,\text{atm}$ pressure. What will be its volume at $127^\circ\text{C}$ and $2\,\text{atm}$ pressure?

An ideal gas is enclosed in a rigid container. If its temperature is increased from $300\,\text{K}$ to $450\,\text{K}$, what is the ratio of the final pressure to the initial pressure?

Which of the following conditions is most favorable for a real gas to behave like an ideal gas?

A balloon contains $0.1\,\text{mol}$ of air at $27^\circ\text{C}$ and $1\,\text{atm}$. What is the volume of the balloon? (Given $R = 0.0821\,\text{L}\cdot\text{atm/(mol}\cdot\text{K)}$)

A gas has a density of $1.25\,\text{kg/m}^3$ at $0^\circ\text{C}$ and $1\,\text{atm}$ pressure. What is the molar mass of the gas? (Given $R = 0.0821\,\text{L}\cdot\text{atm/(mol}\cdot\text{K)}$ and $1\,\text{atm} = 101325\,\text{Pa}$)

Which of the following graphs correctly represents Boyle's Law for an ideal gas?