A Sample of Helium Gas with an Initial Temperature Of T_{i}

Multiple Choice

A sample of helium gas with an initial temperature of $T_{i}$ in an insulated cylinder with initial volume $V_{i}$ is suddenly and violently compressed to one-half its volume. The absolute temperature of the gas after the compression is observed to have doubled. (Note: In a quasistatic adiabatic compression of a monatomic gas, $\mathrm{TV}^{2 / 3}=$ constant.) A suitable replacement process for this process would be

A) a slow isothermal compression from $V_{i}$ to $\frac{1}{2} V_{i}$ .
B) a slow adiabatic compression from $V_{i}$ to $\frac{1}{2} V_{i}$ .
C) Heating the gas to double its temperature followed by a slow adiabatic compression from $V_{i}$ to $\frac{1}{2} V_{i}$ .
D) a slow adiabatic compression from $V_{i}$ to $\frac{1}{2} V_{i}$ followed by heating to bring the temperature to $2 T_{i}$ .
E) a slow adiabatic compression from $V_{i}$ to $\frac{1}{2} V_{i}$ followed by cooling to bring the temperature to $2 T_{i}$ .
F) None of the above.