Question

An ice cube is placed in a microwave oven. Suppose the oven delivers 115 W of...

An ice cube is placed in a microwave oven. Suppose the oven delivers 115 W of power to the ice cube and that it takes 32200 J to melt it.

How long does it take for the ice cube to melt?
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Answer #1
Concepts and reason

The main concept required to solve this problem is the power, heat energy and time.

Initially, write the equation for the power. Use this equation for the power and calculate the time by using the heat energy and power delivered.

Fundamentals

The equation for the power delivered to the microwave oven is,

Here, Q is the heat energy and t is the time.

The equation for the power is,

Here, Q is the heat energy required to melt the ice and t is the time taken to melt and P is the power delivered to the microwave oven.

Rearrange the above equation for t.

t =

Here, t is the time taken for the ice cube to melt.

The equation for the time that derived in above step 1 is,

t =

Substitute 32200 J for Q, and 115 W for P in above equation.

32200 J
115 W
280 J/W
J/W
(1 min
=280 s1min
60s
= 4.667 min

Ans:

The time taken for the ice cube to melt is 4.67 min.

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