Helium gas is contained in a closed rigid tank. An electric resistor in the tank transi the gas at a constant rate of 1 kW. Heat transfer from the gas to its surroundings oc of 5t watts, where t is time, in minutes. Find total energy E as a function of t.

Helium gas is contained in a closed rigid tank. An electric resistor in the tank transi the gas at a constant rate of 1 kW. Heat transfer from the gas to its surroundings oc of 5t watts, where t is time, in minutes. Find total energy E as a function of t.

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter2: Matter And Energy

Section: Chapter Questions

Problem 27RQ: How many Btu/h would be produced in a 12-kW electricheater?

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Question

Helium gas is contained in a closed rigid tank. An electric resistor in the tank transfers energy to
the gas at a constant rate of 1 kW. Heat transfer from the gas to its surroundings occurs at a rate
of 5t watts, where t is time, in minutes. Find total energy E as a function of t.

Expert Solution

Step 1: Step 1

To Find :

The Total energy E as a function of t.

Given :

The output energy is $Q with dot on top subscript o u t end subscript equals 50 straight t space straight W$

the input energy is $Q with dot on top subscript i n end subscript equals 1000 space straight W$

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