(a)
The amount of energy delivered to the heater in half an hour.
(a)
Answer to Problem 99A
The energy drawn by the heater in half an hour is
Explanation of Solution
Given:
The electric heater is rated at
The power drawn by the heater is
The time for which the heater operates is
Formula used:
The expression for the energy delivered to the heater is,
Here,
Calculation:
The power drawn by the heater is,
Conclusion:
Thus, the energy drawn by the heater in half an hour is
(b)
The change in the air temperature in half an hour.
(b)
Answer to Problem 99A
The change in the temperature of the room in half an hour is
Explanation of Solution
Given:
The mass of air in the room is
The specific heat of the air is
Consider the change in the temperature of the room is denoted by
The percentage of thermal energy that warms up the room is
Formula used:
The expression for the change in the temperature
Here,
Calculation:
Refer Part (a).
The energy drawn by the heater in half an hour is
Consider the heat delivered by the heater to the room in half an hour is denoted by
The heat delivered by the heater to the room is
The change in the temperature
Conclusion:
Thus, the change in the temperature of the room in half an hour is
(c)
The cost of running the heater
(c)
Answer to Problem 99A
The cost of running the heater
Explanation of Solution
Given:
The cost for
The heater runs
Formula used:
Total cost will be the product of cost per kWh and total kWh consumed.
Calculation:
The total duration of operation
The heater is rated at
The energy consumed by the heater in time tis ,
The cost for
The value of
The cost for
The cost of running the heater
Conclusion:
Thus, the cost of running the heater
Chapter 22 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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