Carnot Engine — Prelims Questions

A Carnot engine operates between $227^{\circ}\text{C}$ and $127^{\circ}\text{C}$. It absorbs $6 \times 10^4,\text{J}$ of heat from the source. Calculate the heat rejected to the sink.

A Carnot engine has an efficiency of $40\%$. If the temperature of the cold reservoir is $300,\text{K}$, what is the temperature of the hot reservoir?

Which of the following statements is TRUE for a Carnot engine?

A Carnot engine takes $300,\text{J}$ of heat from a source at $500,\text{K}$ and rejects $200,\text{J}$ of heat to a sink. What is the temperature of the sink?

A Carnot engine works between $0^{\circ}\text{C}$ and $100^{\circ}\text{C}$. What is its efficiency?

If the efficiency of a Carnot engine is $1/5$, and the temperature of the cold reservoir is decreased by $50,\text{K}$, its efficiency becomes $1/3$. What were the initial temperatures of the hot and cold reservoirs?