2 (25) 5. Sn ow begins falling continuously at midnight until 3:00 am at the rat

Question

2 (25) 5. Sn ow begins falling continuously at midnight until 3:00 am at the rate of 0.6 lb/f t.hr on the 34 concrete. Sensors immediately detect this and turn on the heat Assuming that the slab remains at 34 and that no other heat is lost to the soil or surroundings, will the snow be melted before the morning commuter rush at 6:00 am? What fraction of it is left? Provide justification for your answers. pump snow melting system which supplies 1.5ES BTU/hr to the slab. Is snow melted: Units: yes/no Units: percent Fraction of remaining snow:

Explanation / Answer

Slab area is not define in the problem, so slab area assume 1ft2.

Snow accumulated in hr=0.6 lb

Latent heat for snow melting=144 BTU/lb

Heat required to melt ice to water =(144*0.6)

= 86 .4 BTU/hr

Supply heat pump heat is greater than the require heat,so snow melted yes.

If heat pump heat will use fully then snow melted =(1.5*105)/144

=1041.7 lb

So area of snow can be melted in hr=1041.7/0.6

=1736 ft2

Fraction of remaining snow nil.

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