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Calculate the change in internal energy ...

Calculate the change in internal energy of a system which absorbs 100 J of heat and does 215 J of work.

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U_1 , q, w, U_2 are given. U_1 is internal energy, q is absorbed heat, w is work done and U_2 is final energy. a) Derive an equation for DeltaU. b) Give the equation for w. c) Calculate the change in internal energy of a system which absorbs 200 J of heat and 315 J of work is done by the system.

Calculate the change in the internal energy of a system which absorbs '500 J' of heat, and does work equivalent to '200 J' on the surroundigs.

Knowledge Check

  • Five moles of an ideal monoatomic gas with an initial temperature of 150^(@)C expand and in the process absorb 1500J of heat and does 2500J of work. The final temperature of the gas in ""^(@)C is (ideal gas constant, R= 8.314 xx JK^(-1) mol^(-1) )

    A
    134
    B
    126
    C
    144
    D
    166
  • Calculate the increase in internal energy of 1 kg of water at 100^(@)C when it is converted into steam at the same temperature and at 1 atm (100 kPa). The density of water and steam are 1000 kg m^(-3) and 0.6 kg m^(-3) respectively. The latent heat of vapourisation of water 2.25 xx 10 ^(6)J kg ^(-1)

    A
    `2.99 xx 10 ^(6) J`
    B
    `3.24 xx 10 ^(6) J`
    C
    `3.02 xx 10 ^(6)J`
    D
    `2.08 xx 10 ^(6) J`
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    Express the change in internal energy of a system when (ii) No work is done on the system, but q amount of heat is taken out from the system and given to the surroundings. What type of wall does the system have?

    Express the change in internal energy of a system when (iii) w amount of work is done by the system and q amount of heat is supplied to the system what type of system would it be?

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    Calculate the increase in internal energy of 1 kg of water at 100^(@)C when it is converted into steam at the sa temperature and at 1 atm (100 kPa). The density of water and steam are 1000 kg m and 0.6 kg respectively. The latent heat of vapourisation of water =2.25 xx 10 ^(6) J kg ^(-1)