Question

choose the best answer of questions on right.
temperature
the inside temperature of an oven is maintained at 450°f while the kitchen air temperature is 76°f.
the difference in temperature between kitchen air and oven in rankine is:
374°r
208°r
274°r
300°r
2
multiple answer 2 points
the difference in temperature between kitchen air and oven in celsius is:
108°c
251.6°c
189°c
207.8°c

Explanation:

Step1: Convert Fahrenheit to Rankine

The formula to convert Fahrenheit ($T_F$) to Rankine ($T_R$) is $T_R=T_F + 459.67$.
For the oven: $T_{R1}=450+459.67 = 909.67\ ^{\circ}R$
For the kitchen air: $T_{R2}=76 + 459.67=535.67\ ^{\circ}R$
The difference $\Delta T_R=T_{R1}-T_{R2}=(450 + 459.67)-(76+459.67)=450 - 76=374\ ^{\circ}R$

Step2: Convert Fahrenheit to Celsius

The formula to convert Fahrenheit ($T_F$) to Celsius ($T_C$) is $T_C=\frac{5}{9}(T_F - 32)$.
For the oven: $T_{C1}=\frac{5}{9}(450 - 32)=\frac{5}{9}\times418\approx232.22\ ^{\circ}C$
For the kitchen air: $T_{C2}=\frac{5}{9}(76 - 32)=\frac{5}{9}\times44\approx24.44\ ^{\circ}C$
The difference $\Delta T_C=\frac{5}{9}(450 - 32)-\frac{5}{9}(76 - 32)=\frac{5}{9}(450 - 76)=\frac{5}{9}\times374\approx207.8\ ^{\circ}C$

Answer:

1. $374\ ^{\circ}R$
2. $207.8\ ^{\circ}C$