(a) the temperature on a warm summer day is 87 °f. what is the temperature in °c? (b) many scientific data are reported at 25 °c. what is this temperature in kelvins and in degrees fahrenheit? (c) suppose that a recipe calls for an oven temperature of 400 °f. convert this temperature to degrees celsius and to kelvins. (d) liquid nitrogen boils at 77 k. convert this temperature to degrees fahrenheit and to degrees celsius.

a.T = 87 F0

Temperature can be converted to celcius as follows:

F = (9 /5) C + 32

87 = (9 /5) C + 32

C = 30.55 C0

b. T = 25 C0

Temperature can be converted to kelvin as follows:

K = C + 273.15

= 30.55 + 273.15 = 303.7 K

F = (9 /5) C + 32

F = (9 /5) (25) + 32 = 77 F

c. T = 400 F

400 = (9 /5) C + 32

C = 204.44 C0

K = C + 273.15

K = 204.44 + 273.15 = 477.59 K

d . T = 77 K

77 K = C + 273.15

C = - 196.15 C0

F = (9 /5) C + 32

F = (9 /5) (- 196.15) + 32 = -321.07 F

Answer :

(a) The temperature in degree Celsius is,

(b) The temperature in Kelvin and in degree Fahrenheit is, 298K and respectively.

(c) The temperature in degree Celsius and Kelvin is, and 477.4 K respectively.

(d) The temperature in degree Fahrenheit and Celsius is, and respectively.

Explanation :

The conversion used for the temperature from Fahrenheit to degree Celsius is:

where,

= temperature in Fahrenheit  

= temperature in centigrade

The conversion used for the temperature from degree Celsius to Kelvin is:

where,

= temperature in Kelvin

= temperature in centigrade

(a) As we are given the temperature in Fahrenheit is,

Now we have to determine the temperature in degree Celsius.

(b) As we are given the temperature in degree Celsius is,

Now we have to determine the temperature in Kelvin.

Now we have to determine the temperature in degree Fahrenheit.

(c) As we are given the temperature in Fahrenheit is,

Now we have to determine the temperature in degree Celsius.

Now we have to determine the temperature in Kelvin.

(d) As we are given the temperature in Kelvin, 77 K

Now we have to determine the temperature in degree Celsius.

Now we have to determine the temperature in degree Fahrenheit.