Q$1.$ Two Carnot refrigerators are used to remove energy from a source at $0\mathrm{.}04$ K$.$ The first refrigerator removes $200$mW from the low$-$temperature source and rejects energy to an intermediate sink at $1\mathrm{.}0$ K$.$ The second refrigerator takes all this energy from the intermediatetemperature region and rejects energy to a sink at $300$ K$.$ Determine the total work requirement for the system. Determine the work requirement for a single Carnot refrigerator operating between $0\mathrm{.}04$ K and $300$ K for a refrigeration load of $200$mW$.$