An Ideal Carnot Engine Operates Between a Warm Reservoir At 233

Multiple Choice

An ideal Carnot engine operates between a warm reservoir at $233 \mathrm {~K}$ and a colder reservoir. During each cycle, this engine extracts $15.0 \mathrm {~J}$ of heat from the warm reservoir and does $4.0 \mathrm {~J}$ of work. What is the temperature of the colder reservoir?

A) $47 \mathrm {~K}$
B) $67 \mathrm {~K}$
C) $62 \mathrm {~K}$
D) $171 \mathrm {~K}$