A rigid gas cylinder contains gas at pressure $p_1 = 1.0 \times 10^5\text{ Pa}$ with density $\rho_1 = 1.2\text{ kg/m}^3$. More gas is pumped into the cylinder at constant temperature until the pressure increases to $3.0 \times 10^5\text{ Pa}$. Assuming the gas volume remains constant, what is the new density $\rho_2$ of the gas in the cylinder?

• A$0.4\text{ kg/m}^3$
• B$1.2\text{ kg/m}^3$
• C$2.4\text{ kg/m}^3$
• D$3.6\text{ kg/m}^3$

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