Melting Ice: 200g Steel at 150°C on 0°C Ice

AI Thread Summary
The discussion revolves around calculating the amount of ice melted when a 200g steel piece at 150°C is placed on a block of ice at 0°C. The calculation shows that approximately 0.041317 kg of ice is melted based on the heat transfer from the steel to the ice. Additionally, the user calculates how deep the steel would sink into the ice, determining a height of approximately 0.89 cm for a circular steel piece with a radius of 4 cm. The calculations for both the melted ice and the depth appear to be correct. The thread emphasizes the principles of thermodynamics and heat transfer in this scenario.
Ry122
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200g of steel was placed on a big block of ice.
The ice was 0 degrees C.
The metal was 150 degrees C.
How much ice gets melted?

My attempt:
Q=mc(changeinT)
Q=.2(460)150
Q=13800

Q=ML
13800=M(3.34x10^5)
M=.041317 kg is melted
Is this correct?
 
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Looks fine to me.
 
If this piece of metal was circular with a radius of 4 cm. How deep would it sink into the ice?

My attempt:
M=.041317 kg is melted

Area of circle = pie x r^2 = pie x .04^2 = 5.02 x 10^-3 m
Now setup an equation to find the height of the cylinder made.
Find what volume this would be.
v=m/d
= .041317/920
= 4.49 x 10^-5
5.02 x 10^-3 x height = 4.49 x 10^-5
height = 8.944 x 10^-3m
= .89cm
Is this correct?
 
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