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For two states defined by dV = 0 and dT  0, prove that the thermodynamic variables are connected through relation

(dv/dp)T(dp/dT)V(dT/dv)P= -1
If two moles of Nitrogen is heated from 20 to 30◦C, what are the changes in the translational, rotational and total internal energy?
Name six (6) instruments used for measuring pressure and write short notes on each of them
Using relation for accessible state,(omega)=B(v-b)^Nf(E) here f(E) is function of energy only. Obtain equation of state p(v-b)=NkT
A 50kg track athlete running at 10.0 m/s jumps over a hurdle. If athlete’s horizontal component of the velocity over the hurdle is 8.8 m/s and the air resistance is disregarded, how high was the jump?
A cooper cube whose mass mc 100 g is heated to 300 oC. ) Then the cube is dropped intro glass baker whose heat capacity Cb 200 J/K, and containing water whose heat capacity CW 800 J/K at initial temperature 25 oC then the common final temperature is ( the specific heat of cooper 400 J/Kg.k
A cooper cube whose mass mc 100 g is heated to 300 oC. ) Then the cube is dropped intro glass baker whose heat capacity Cb 200 J/K, and containing water whose heat capacity CW 800 J/K at initial temperature 25 oC then the common final temperature is ( the specific heat of cooper 400 J/Kg.k
energy required to change 10.0g of ice at -10.0°c to 10.0g of steam at 110.0°c
When 50,000 mL of oxygen at 20.0 °C is compressed to 5.00 liters, what must the new temperature be to maintain constant pressure?
A mercury thermometer is constructed as

shown. The capillary tube has a diameter

of 0.0029 cm, and the bulb has a diameter of

0.12 cm.

∆h

A

T T+∆T

Neglecting the expansion of the glass, find

the change in height of the mercury column

for a temperature change of 33 ◦C. The

volume expansion coefficient for mercury is

0.000182 (◦C)−1

.

Answer in units of cm.
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