Find the increase in its rest mass

[roopak.arya]

16. A 1-kg mass of iron is heated through 1000 0C. Find the increase in its rest mass. Specific heat of iron is 500 Joule per kg per 0C

 

[Greg Bernhardt]

Moving to homework. Please use the template and show some work.

 

[roopak.arya]

Question. A 1-kg mass of iron is heated through 1000 0C. Find the increase in its rest mass. Specific heat of iron is 500 Joule per kg per 0C

 

[Fredrik]

Question. A 1-kg mass of iron is heated through 1000 0C. Find the increase in its rest mass. Specific heat of iron is 500 Joule per kg per 0C

You have to show us your attempt to solve it, up to the point where you are stuck. Do you have any idea what formula(s) you can use? (Is there a formula that relates energy to mass?) Do you understand the concept of specific heat? If not, you should start by looking it up on Wikipedia or something.

 

[paranormal]

The increase in rest mass of the 1-kg mass of iron can be calculated using the equation E=mc^2, where E is the energy, m is the mass, and c is the speed of light. In this case, the energy absorbed by the iron can be calculated by multiplying the specific heat of 500 Joule per kg per 0C by the change in temperature of 1000 0C, giving us 500,000 Joules of energy absorbed.

Using the equation E=mc^2, we can rearrange it to solve for the change in mass, which gives us m=E/c^2. Plugging in the energy absorbed by the iron and the speed of light (299,792,458 meters per second), we get a change in mass of approximately 5.56x10^-12 kg.

Therefore, the increase in rest mass of the 1-kg mass of iron when heated through 1000 0C is approximately 5.56x10^-12 kg. This may seem like a small change, but it highlights the concept of mass-energy equivalence and the immense amount of energy required to cause a change in mass.