Question

temperature

1. fill in the missing values in the table below.

celsius kelvin
a. 15°c
b. 7.2°c
c. 310 k
d. -126°c
e. 230.2 k
f. 380 k

Explanation:

Step1: Recall the conversion formula

The formula to convert Celsius ($C$) to Kelvin ($K$) is $K = C + 273.15$. The formula to convert Kelvin ($K$) to Celsius ($C$) is $C=K - 273.15$.

Step2: Solve for a

Given $C = 15^{\circ}C$. Using $K = C + 273.15$, we have $K=15 + 273.15=288.15\ K$.

Step3: Solve for b

Given $C = 7.2^{\circ}C$. Using $K = C + 273.15$, we have $K=7.2+273.15 = 280.35\ K$.

Step4: Solve for c

Given $K = 310\ K$. Using $C=K - 273.15$, we have $C=310 - 273.15=36.85^{\circ}C$.

Step5: Solve for d

Given $C=- 126^{\circ}C$. Using $K = C + 273.15$, we have $K=-126+273.15 = 147.15\ K$.

Step6: Solve for e

Given $K = 230.2\ K$. Using $C=K - 273.15$, we have $C=230.2-273.15=-42.95^{\circ}C$.

Step7: Solve for f

Given $K = 380\ K$. Using $C=K - 273.15$, we have $C=380 - 273.15 = 106.85^{\circ}C$.

Answer:

a. $288.15\ K$; b. $280.35\ K$; c. $36.85^{\circ}C$; d. $147.15\ K$; e. $-42.95^{\circ}C$; f. $106.85^{\circ}C$