6. (41 Initialty at a lemgerature of 293 K, a rectangular s steel plase measures

Question

6. (41 Initialty at a lemgerature of 293 K, a rectangular s steel plase measures 60.00 cm by 20.00 cm ) At 593K (D the ratio ALA for the 60-cm side will be greater than AL/A. for the 20-cm (2) the ratio ALA. for the 60-cm side will be equal to ALA for the 20-cm side (3) the ratio ALA for the 60-cm side will be less than AL/A. for the 20-cm side. side. ) Cnpute the area ofthe sacel plate at 993 K. 7. [4) 3.00m' of air, initially at 10°C and (ahsolute) pressure 1,00 atm is commpeessed to 1.00m bringing its temperature upto 30C what is the new pressure? 8. 13] How much heat energy is needed to change the temperature of Lake Erie by 1,00C7 Use mass water in Lake Erie of 4.80% 10 kg

Explanation / Answer

7.

Using Ideal gas law:

PV = nRT

PV/T = constant

P1V1/T1 = P2V2/T2

P2 = P1*V1*T2/(V2*T1)

T1 = 273 + 10 = 283 K

T2 = 273 + 30 = 303 K

V1 = 3 m^3

V2 = 1 m^3

P1 = 1 atm

So,

P2 = 1*3*303/(1*283)

P2 = 3.21 atm

8.

Heat energy required is given by:

Q = m*C*dT

m = mass of lake = 4.80*10^14 kg

C = specific heat of water = 4186 J/kg-C

dT = 1 C

So

Q = 4.80*10^14*4186*1

Q = 2.01*10^18 J

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