Answer to Question #103340 in General Chemistry for mya

Question #103340
At 1 atm, how much energy is required to heat 85.0g H2O(s) at −20.0∘C to H2O(g) at 153.0 C?
1
Expert's answer
2020-02-19T07:58:30-0500


We will calculate the following steps:


1. For heating ice from -20 ° C to 0 ° C:

(ΔT = 20 ° C):

Q = mcΔT: m - mass; c - specific heat: ΔT- temp. difference; Q - heat is absorbed or released.


Q = 85.0 g x 2.1 J / g / ° C x 20 ° C = 3 570 J= 3.570 kJ


2. Melt ice at 0 ° C to water at 0 ° C:


Q = mK: m is the melting mass.

= 85.0 g x 334 J / g = 28 390 J = 28.390 kJ


3. It is allocated for heating water from 0 ° C to boiling at 100 ° C:


Q = mcΔT: m - mass; c - specific heat: ΔT - temp. difference; Q -heat is absorbed or

= 85.0 g x 4.184 J / g / ° C x 100 ° C ΔT = 35 564 J = 35.564 kJ


4. To evaporate water into steam at 100 ° C:

Q = mK

= 85.0 g x 2260 kJ / g = 192.100 kJ


5.It is allocated for heating steam from 100 ° C to 156 ° C:


Q = mcΔT: m = mass; c = specific heat: ΔT = temp. difference; Q = heat is absorbed or

= 85.0 g x 2.01 J / g / ° C x 53 ° C ΔT = 9 055.05 = 9.055,05 kJ


Q = 3.570 kJ + 28.390 kJ + 35.564 kJ + 192.100 kJ + 9.055,05 kJ=268.679,05 kJ


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