A house is losing heat at a rate of 1800 kJ/h per °C temperature difference between the indoor and the outdoor temperatures. Express the rate of heat loss from this house per ( a ) K. ( b ) °F, and ( c ) R difference between the indoor and the outdoor temperature.
A house is losing heat at a rate of 1800 kJ/h per °C temperature difference between the indoor and the outdoor temperatures. Express the rate of heat loss from this house per ( a ) K. ( b ) °F, and ( c ) R difference between the indoor and the outdoor temperature.
A house is losing heat at a rate of 1800 kJ/h per °C temperature difference between the indoor and the outdoor temperatures. Express the rate of heat loss from this house per (a) K. (b) °F, and (c) R difference between the indoor and the outdoor temperature.
(a)
Expert Solution
To determine
The rate of heat loss from a house is 1800kJ/hper°C express in Kelvin scale.
Answer to Problem 94RP
The rate of heat loss from a house is 1800kJ/hper°C express in Kelvin scale is 1800kJ/hperK_.
Explanation of Solution
Refer Figure 1.13.
Write the expression of magnitude of temperature unit.
ΔT(K)=ΔT(°C) (I)
Since the temperature of a system is rising during hyperthermia, the temperature in Kelvin and Celsius unit are identical.
Conclusion:
Substitute 1800kJ/hper°C for ΔT(°C) in Equation (I).
ΔT(K)=1800kJ/hper°C=1800kJ/hper K
Thus, the rate of heat loss from a house is 1800kJ/hper°C express in Kelvin scale is 1800kJ/hperK_.
(b)
Expert Solution
To determine
The rate of heat loss from a house is 1800kJ/hper°C express in Fahrenheit scale.
Answer to Problem 94RP
The rate of heat loss from a house is 1800kJ/hper°C express in Fahrenheit scale is 1000kJ/hper°F_.
Explanation of Solution
Write the expression of conversion relation between K to °F.
ΔT(°F)=ΔT(K)×1.8 (II)
Conclusion:
Substitute 1800kJ/hper°C for ΔT(K) in Equation (II).
ΔT(°F)=(1800kJ/hper°C)×1.8=1000kJ/hper°F
Thus, the rate of heat loss from a house is 1800kJ/hper°C express in Fahrenheit scale is 1000kJ/hper°F_.
(c)
Expert Solution
To determine
The rate of heat loss from a house is 1800kJ/hper°C express in Rankine scale.
Answer to Problem 94RP
The rate of heat loss from a house is 1800kJ/hper°C in Rankine scale is 1000kJ/hperR_.
Explanation of Solution
Write the expression of conversion relation between K to R.
ΔT(R)=ΔT(K)×1.8 (III)
Conclusion:
Substitute 3K for ΔT(K) in Equation (III).
ΔT(R)=1800kJ/hper°C×1.8=1800kJ/hperR
Thus, the rate of heat loss from a house is 1800kJ/hper°C express in Rankine scale is 1000kJ/hperR_.
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