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How much heat energy is needed to convert 10.75g of ice at -22 celsius to steam at 118 celsius?

User CDuv
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1 Answer

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A heat energy equal to 6300 J is required to heat 10.75 g of ice to steam.

Explanation:

Given:

Amount of transferred energy = Q =?

Mass of ice (water) = m = 10.75 g

Initial temperature of ice =
T(i) = -22\°C

Final temperature of steam =
T(f) = 118\°C

Formula for Heat capacity is given by

Q = m×c×Δt ........................................(1)

where:

Q = Heat capacity of the substance (in J)

m=mass of the substance being heated in grams(g)

c = the specific heat of the substance in J/(g.°C)

Δt = Change in temperature (in °C)

Δt = (Final temperature - Initial temperature) =
T(f)-T(i)

Specific heat of water is c = 4.186 J /g. °C

Substituting these in equation (1), we get

Q = m×c×Δt =
m* c* (T(f)-T(i))


Q = 10.75* 4.186* (118-(-22))\\ Q= 10.75* 4.186* 140 = 6299.93\ J

Required heat energy is equal to 6299.93 Joules ≅ 6300 Joules.

User Malcolm Anderson
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