Find Work done by block of gold?

In summary, when solid gold is heated from 20°C to 1064°C, its density decreases from 19.3 g/cm3 to 17.3 g/cm3. Using the equation W=-pdeltaV, the work done by a block of gold with a mass of 407 kg at a pressure of 1.0 atm is 20619 J. However, this does not seem correct and the correct solution involves calculating the volume at both temperatures and converting the data to kg and kg/m3.
  • #1
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Homework Statement


The density of solid gold at 20°C is
ρ = 19.3 g/cm3.
When it is liquid at 1064°C the density of the liquid state is decreased: 17.3 g/cm3. How much work does a block of gold of mass 407 kg do if it is heated at
p = 1.0 atm
from 20°C to 1064°C?

Homework Equations


density=mass/volume
PV=nRT
W=-pdeltaV


The Attempt at a Solution


I started by taking difference between two pressures =2.0g/cm3 and then converted that to 2000kg/cm3. with this i used
p=m/v
v=m/p
v=407kg/2000kg/m3
v=0.2035m3 =203.5L
W=-pdeltaV
W=1.0atm(203.5L)
W= 203.5atm.L=20619 J
this does not seem correct at all and it isn't.
 
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  • #2
I believe you haven't worked out ΔV correctly. Start by working out the volume at the two different temperatures. Perhaps best to convert the data given in the question to kg and kg/m3 first.
 

1. How do you calculate the work done by a block of gold?

The work done by a block of gold can be calculated by multiplying the force applied to the block by the distance the block moves in the direction of the force. This is represented by the equation W = F * d, where W is the work done, F is the force, and d is the distance.

2. What is the unit of measurement for work done?

The unit of measurement for work done is joules (J). However, in some cases, other units such as foot-pounds or calories may also be used.

3. Can the work done by a block of gold be negative?

Yes, the work done by a block of gold can be negative if the force applied to the block is in the opposite direction of the movement of the block. This indicates that work is being done on the block, rather than by the block.

4. How does the mass of the block of gold affect the work done?

The mass of the block of gold does not directly affect the work done. Work is dependent on the force and distance, not the mass. However, the mass may indirectly affect the work done if it affects the force or distance required to move the block.

5. Are there any other factors that can affect the work done by a block of gold?

Yes, other factors such as friction, air resistance, and the angle of the force applied can affect the work done by a block of gold. These factors may increase or decrease the amount of work done, depending on their magnitude and direction.

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