A Vertical Cylinder, Closed at the Bottom End, Contains $( R = 8.31$

Multiple Choice

A vertical cylinder, closed at the bottom end, contains 0.0100 mol of ideal gas. It is fitted at the top with a piston that can move freely. The mass of the piston is 14.0 kg and the initial height of the piston above the bottom of the cylinder is 25 cm. What is the temperature of the gas? $( R = 8.31$ $\mathrm { J } / \mathrm { mol } \cdot \mathrm { K } )$

A) 405 K
B) 3620 K
C) 413 K
D) 500 K
E) 290 K