Suppose that the amount of heat removed when 1.4 kg of water freezes at 0.0 oC were removed from ethyl alcohol at its freezing/melting point of -114.4 oC. How many kilograms of ethyl alcohol would freeze?

Respuesta :

Answer:

[tex]m = 4.26 kg[/tex]

Explanation:

As we know that heat required to remove from water to freeze it is given as

[tex]Q = mL[/tex]

so we have 1.4 kg water is required to freeze

so heat is given as

[tex]Q_1 = 1.4 \times 3.35 \times 10^5[/tex]

now same heat is removed from ethyl alcohol of mass "m"

the latent heat of fusion for ethyl alcohol is given as

[tex]L = 1.1 \times 10^5 J/kg[/tex]

so we have

[tex]Q_2 = m(1.1 \times 10^5)[/tex]

now we know

[tex]Q_1 = Q_2[/tex]

[tex]1.4 \times 3.35 \times 10^5 = m(1.1 \times 10^5)[/tex]

[tex]m = 4.26 kg[/tex]