A beaker of water sits in the sun until it reaches anequilibrium temperature of 30°C. The beaker is made of 100 g ofaluminum and contains 170 g of wat

Josalynn

Josalynn

Answered question

2021-01-05

A beaker of water sits in the sun until it reaches anequilibrium temperature of 30°C. The beaker is made of 100 g ofaluminum and contains 170 g of water.In an attempt to cool this system, 105g of ice at 0°C is added to the water. (a) Determine how much ice remains after thesystem reaches equilibrium

Answer & Explanation

curwyrm

curwyrm

Skilled2021-01-06Added 87 answers

Mass of ice (mi) = 0.105 kg
Latent Heat of ice (Li) = 333000 J / kg
Mass of water ( mw) = 0.170 k g
Mass of aluminium (ma) = 0.100 k g
Temp. difference of water(Dt ) = 30 c0
spec.heat capacityof aluminium ( ca) = 900 J / kg-K
spec.heat capacity of water ( cw) = 4190 J / kg- K
Net heat taken by cup & water(Q ) = ( maca+mwcw)(Dt )= 24.1 kJ =1.09 * 105J
Amount of ice melted ( Mm ) = Q / L i = 0.0723 kg
Left amount of ice ( M left ) = 0.105 k g - 0.0723 kg = 0.327 kg
= 33 gram

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