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A six pack of your favorite beverage (12 fl. oz. cans, assumed to have the same characteristics as water) is placed in a cooler at 70° F. How much heat must be removed (BTU) to cool the beverages to 34°F?

Respuesta :

Answer:

[tex]Q = 169 BTU[/tex]

Explanation:

As we know that volume is given as

[tex]V = 12 Fl oz[/tex]

so it is given in liter as

[tex]V = 12 fl oz = 0.355 Ltr[/tex]

now we have six pack of such volume

so total volume is given as

[tex]V = 6\times 0.355 Ltr[/tex]

[tex]V = 2.13 ltr[/tex]

so its mass is given as

[tex]m = 2.13 kg[/tex]

now the change in temperature is given as

[tex]\Delta T = 70 - 34 = 36 ^oF[/tex]

[tex]\Delta T = 20^oC[/tex]

now the heat given to the liquid is given as

[tex]Q = ms\Delta T[/tex]

[tex]Q = 2.13(4186)(20)[/tex]

[tex]Q = 1.78 \times 10^5 J[/tex]

[tex]Q = 169 BTU[/tex]