Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Compute the work which must be performed to slowly pump the water out of a hemispherical reservoir of radius $R = 0.6 \mathrm{m}$

Which of the following are not state functions?

 $\begin{array}{l}(I)q+w(II)q\\ (III)w(IV)H-TS\end{array}$

If $\mathrm{\Delta H}$ is the change in enthalpy and $\mathrm{\Delta E},$ the change in internal energy accompanying a gaseous reaction, then

Mention the factors on which the rate of diffusion of gases depends. Why are similar conditions of temperature and pressure necessary? 

How do gases differ from solids and liquids?

Explain the statement 'Gases have neither a fixed shape nor a fixed volume'.

$30 \mathrm{g}$ ice at $0°\mathrm{C}$ is mixed with $2 \mathrm{g}$ steam at $100°\mathrm{C}$. The final temperature of the mixture is.

What is compound?

Why do we need to use a glass rod for stirring any solution and not spoon?

A container is filled with $20$ moles of an ideal diatomic gas at absolute temperature $\mathrm{T}.$ When heat is supplied to gas temperature remains constant but $8$moles dissociates into atoms. Heat energy supplied to gas is?

One mole of an ideal gas undergoes two different cyclic processes $\mathrm{I}$ and $\mathrm{II}$, as shown in the $P-V$ diagrams below. In cycle $\mathrm{I}$, processes $a, b, c$ and $d$ are isobaric, isothermal, isobaric and isochoric, respectively. In cycle $\mathrm{II}$, processes $a\text{'}, b\text{'}, c\text{'}$ and $d\text{'}$ are isothermal, isochoric, isobaric and isochoric, respectively. The total work done during cycle $\mathrm{I}$ is $W_{\mathrm{I}}$ and that during cycle $\mathrm{II}$ is $W_{\mathrm{II}}$. The ratio $\frac{W_{\mathrm{I}}}{W_{\mathrm{II}}}$ is _____.

How intermolecular spaces affect the volume?

One mole of an ideal monoatomic gas undergoes two reversible processes $(\mathrm{A}\to \mathrm{B}$ and $\mathrm{B}\to \mathrm{C})$ as shown in the given figure:

$\mathrm{A}\to \mathrm{B}$ is an adiabatic process. If the total heat absorbed in the entire process $(\mathrm{A}\to \mathrm{B}$ and $\mathrm{B}\to \mathrm{C})$ is ${\mathrm{RT}}_2\ln 10$, the value of $2{\mathrm{logV}}_3$ is
[Use molar heat capacity of the gas at constant pressure, ${\mathrm{C}}_{\mathrm{p},\mathrm{m}}=\frac{5}{2}\mathrm{R}$]

Calculate the change in internal energy, $∆\mathrm{U}$ and enthalphy, $∆\mathrm{H}$ when $2$ moles of ${\mathrm{CO}}_2$ is heated from $300\mathrm{K} \mathrm{to} 400\mathrm{K}$. The specific heats of ${\mathrm{CO}}_2$ at constant pressure and constant volume are $0.846$ and $0.657 {\mathrm{Jg}}^{-1}$ respectively.

For the reaction :

${\mathrm{C}}_3{{\mathrm{H}}_8}_{\left(\mathrm{g}\right)}+5{{\mathrm{O}}_2}_{\left(\mathrm{g}\right)}\to 3{\mathrm{CO}}_{2\left(\mathrm{g}\right)}+3{\mathrm{H}}_2{\mathrm{O}}_{\left(\mathrm{l}\right)}$

$∆\mathrm{H}-∆\mathrm{U}$ at constant temperature is 

${\mathrm{A}}_{\left(\mathrm{g}\right)}+2{\mathrm{B}}_{\left(\mathrm{g}\right)}\to 2{\mathrm{C}}_{\left(\mathrm{g}\right)}+3{\mathrm{D}}_{\left(\mathrm{g}\right)}$

For the above reaction the value of $∆\mathrm{H}$ is $19.0 \mathrm{K} \mathrm{cal}$ at ${27}^{\mathrm{o}}\mathrm{C}$. The value of $∆\mathrm{U}$ in K.cal is____.(Given $\mathrm{R}=2.0 \mathrm{Cal} {\mathrm{K}}^{-1}{\mathrm{mol}}^{-1}$).