# Chem

posted by .

In an experiment 50 g of a metal was heated to 100oC and placed in 200 g of a liquid at 25oC. Which of the following combinations of metal and liquid will produce the largest temperature increase in the liquid? (Assume that there is no energy transfer to the surroundings.)
a. Al, C2H5OH
b. Au, H2O
c. Cu, CCl2F2
d. Fe, CCl4

• Chem -

Lets look at the math.

Sum of heats gained is zero.
50*Cmetal(Tf-100)+200*Cliquid(Tf-25)=0

Tf(50Cmetal+200Cliquid)=200Cliquid*25+5000Cmetal

Tf=(200Cliquid+5000Cmetal)/(50Cmetal+200Cliquid)
multiplying the right side numerator and deoominator by 1/cliquid

Tf=(200+5000cm/cl)/(50cm/cl+200)

let cm/cl be x.

well, it is apparent to me that the cm/cl term in the numerator predominates, so it needs to be maximized .

So the metal with the largest specific heat, and the liquid with the least.

so on the four choices, compute cm/cl . the winner is the highest ratio.

## Similar Questions

1. ### college chem

In this experiment a hot metal block at 100oC is added to cold water in a calorimeter. The heat lost by the metal block equals the heat gained by the water and the two end up at the same temperature. In one experiment, the mass of …
2. ### CHEM.

Zinc is often used to calibrate calorimeters because it undergoes a very sharp phase transition from the solid to the liquid at 419.5oC. Calculate the enthalpy change when 5 g of zinc metal is heated from 100oC to the point where the …
3. ### Chemistry

An unknown metal, heated to an unknown temperature until a liquid is dropped into a calorimeter that has 250 ml of water. The water heats up from 22 degrees Celcius to 29 degrees Celcius, at which point the temperature of the water …
4. ### physics

A piece of metal with a mass of 1.9 kg, speciﬁc heat of 200 J/kg ◦ C, and initial temperature of 100 ◦ C is dropped into an insulated jar that contains liquid with a mass of 3.9 kg, speciﬁc heat of 1000 J/kg …
5. ### chemistry

a 23.8 g sample of unknown metal heated at 100 degrees c is placed in 50.0 mL of water at 24 degrees c resulting in 8.5 c temperature increase. What is the specific heat of the metal
6. ### chemistry

Three metals, iron, copper, and gold, have heat capacities of 0.450 J/goC, 0.385 J/goC and 0.129 J/goC, respectively. A 10g sample of each metal was heated in a water bath at 100oC. One of these metals will be placed in a Styrofoam …
7. ### chemistry

A 50g chunk of metal (c=0.0506 j/g°C) is heated to 60°C. it is then dropped into a calorimeter(c=1.40 j/g°C,m=5.0 g)that contains 100.0g of an unknown liquid. the temperature of the liquid raises from 15°C to 20°C.What is the …
8. ### Chemistry

A 50g vhuck of metal (c=0.506 j/g degrees celsius) is heated to 60 degrees celsius. It is then dropped into a calorimeter (c=1.40 j/g derees celsius, m - 5.0g) that contains 100g of liquid. The temperature of the liquid raises from …
9. ### Chemistry

A 50g chuck of metal (c=0.506 j/g degrees celsius) is heated to 60 degrees celsius. It is then dropped into a calorimeter (c=1.40 j/g derees celsius, m - 5.0g) that contains 100g of liquid. The temperature of the liquid raises from …
10. ### Physics

At a chemical plant where you are an engineer, a tank contains an unknown liquid. You must determine the liquids specific heat capacity. You put 0.500 kg of the liquid into an insulated metal cup of mass 0.200 kg. Initially the liquid …

More Similar Questions