Ideal Gas Law — Prelims Questions

A gas occupies a volume of $20,\text{L}$ at $27^circ\text{C}$ and $1,\text{atm}$ pressure. If the gas is heated to $127^circ\text{C}$ and its pressure is increased to $2,\text{atm}$, what will be the new volume of the gas?

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

Calculate the number of moles of an ideal gas contained in a $5,\text{L}$ vessel at $27^circ\text{C}$ and $0.821,\text{atm}$ pressure. (Given $R = 0.0821,\text{L}cdot\text{atm/(mol}cdot\text{K)}$)

An ideal gas is compressed isothermally. What happens to its pressure?

A balloon contains $10,\text{g}$ of oxygen gas ($O_2$) at $27^circ\text{C}$ and $1.5,\text{atm}$ pressure. What is the volume of the balloon? (Molar mass of $O_2 = 32,\text{g/mol}$, $R = 0.0821,\text{L}cdot\text{atm/(mol}cdot\text{K)}$)

An ideal gas is kept in a rigid container. If its temperature is doubled, what happens to its pressure?