Chapter 22.1, Problem 24SSC

To determine

Amount of energy transformed for given time.

Answer to Problem 24SSC

  $E=4.4\times {10}^4\text{J}$

Explanation of Solution

Given:

Energy transformed in $t=3\text{min}$ is $E=2.2\times {10}^3\text{J}$

New time of operation is $t=60\text{min}$ .

Calculation:

Since, in $t=3\text{min}$ energy transformed is $E=2.2\times {10}^3\text{J}$

So, in $t=1\text{min}$ energy transformed is $E=\left(\frac{2.2\times {10}^3}{3}\right)\text{J}$

Therefore, in $t=60\text{min}$ energy transformed is $E=\left(\frac{2.2\times {10}^3}{3}\times 60\right)\text{J}$

  $\Rightarrow E=4.4\times {10}^4\text{J}$

Conclusion:

Therefore, Energy transformed in $t=60\text{min}$ is $E=4.4\times {10}^4\text{J}$ .