Kinetic Theory of an Ideal Gas
PHXI13:KINETIC THEORY

360225 If the \(rms\) speed, of molecules of an ideal gas is ' \(v\) ', what is the average speed of the molecules at the same temperature

1 \(\sqrt{\dfrac{8}{3 \pi}} v\)
2 \(\sqrt{\dfrac{2}{3}} v\)
3 \(v\)
4 \(\dfrac{3 v}{2}\)
PHXI13:KINETIC THEORY

360226 The temperature of an ideal gas is increased from \(27^\circ {\rm{ }}C\) to \(127^\circ {\rm{ }}C\), then percentage increase in \(v_{r m s}\) is

1 \(11 \%\)
2 \(33 \%\)
3 \(37 \%\)
4 \(15.5 \%\)
PHXI13:KINETIC THEORY

360227 A mixture of 2 moles of helium gas \((atomic\,{\mkern 1mu} mass = 4\,\,u)\), and 1 mole of argon gas \((atomic\,{\mkern 1mu} mass = 40\,\,u)\) is kept at \(300 K\) in a container. The ratio of their rms speeds \(\left[\dfrac{v_{\mathrm{mm}}(\text { helium })}{v_{\mathrm{rms}}(\operatorname{argon})}\right]\) is close to

1 2.24
2 0.32
3 0.45
4 3.16
PHXI13:KINETIC THEORY

360228 At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule \((m) = 2.76 \times {10^{ - 26}} kg\), Boltzmann's constant \({k_B} = 1.38 \times {10^{ - 23}}J{K^{ - 1}})\)

1 \(5.016 \times 10^{4} K\)
2 \(1.254 \times 10^{4} K\)
3 \(83.6 \times 10^{3} K\)
4 \(2.508 \times 10^{4} K\)
PHXI13:KINETIC THEORY

360229 At room temperature a diatomic gas is found to have an r.m.s speed of \(1930 \,\,m{s^{ - 1}}\). The gas is

1 \({H_2}\)
2 \(C{l_2}\)
3 \({O_2}\)
4 \({F_2}\)
PHXI13:KINETIC THEORY

360225 If the \(rms\) speed, of molecules of an ideal gas is ' \(v\) ', what is the average speed of the molecules at the same temperature

1 \(\sqrt{\dfrac{8}{3 \pi}} v\)
2 \(\sqrt{\dfrac{2}{3}} v\)
3 \(v\)
4 \(\dfrac{3 v}{2}\)
PHXI13:KINETIC THEORY

360226 The temperature of an ideal gas is increased from \(27^\circ {\rm{ }}C\) to \(127^\circ {\rm{ }}C\), then percentage increase in \(v_{r m s}\) is

1 \(11 \%\)
2 \(33 \%\)
3 \(37 \%\)
4 \(15.5 \%\)
PHXI13:KINETIC THEORY

360227 A mixture of 2 moles of helium gas \((atomic\,{\mkern 1mu} mass = 4\,\,u)\), and 1 mole of argon gas \((atomic\,{\mkern 1mu} mass = 40\,\,u)\) is kept at \(300 K\) in a container. The ratio of their rms speeds \(\left[\dfrac{v_{\mathrm{mm}}(\text { helium })}{v_{\mathrm{rms}}(\operatorname{argon})}\right]\) is close to

1 2.24
2 0.32
3 0.45
4 3.16
PHXI13:KINETIC THEORY

360228 At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule \((m) = 2.76 \times {10^{ - 26}} kg\), Boltzmann's constant \({k_B} = 1.38 \times {10^{ - 23}}J{K^{ - 1}})\)

1 \(5.016 \times 10^{4} K\)
2 \(1.254 \times 10^{4} K\)
3 \(83.6 \times 10^{3} K\)
4 \(2.508 \times 10^{4} K\)
PHXI13:KINETIC THEORY

360229 At room temperature a diatomic gas is found to have an r.m.s speed of \(1930 \,\,m{s^{ - 1}}\). The gas is

1 \({H_2}\)
2 \(C{l_2}\)
3 \({O_2}\)
4 \({F_2}\)
PHXI13:KINETIC THEORY

360225 If the \(rms\) speed, of molecules of an ideal gas is ' \(v\) ', what is the average speed of the molecules at the same temperature

1 \(\sqrt{\dfrac{8}{3 \pi}} v\)
2 \(\sqrt{\dfrac{2}{3}} v\)
3 \(v\)
4 \(\dfrac{3 v}{2}\)
PHXI13:KINETIC THEORY

360226 The temperature of an ideal gas is increased from \(27^\circ {\rm{ }}C\) to \(127^\circ {\rm{ }}C\), then percentage increase in \(v_{r m s}\) is

1 \(11 \%\)
2 \(33 \%\)
3 \(37 \%\)
4 \(15.5 \%\)
PHXI13:KINETIC THEORY

360227 A mixture of 2 moles of helium gas \((atomic\,{\mkern 1mu} mass = 4\,\,u)\), and 1 mole of argon gas \((atomic\,{\mkern 1mu} mass = 40\,\,u)\) is kept at \(300 K\) in a container. The ratio of their rms speeds \(\left[\dfrac{v_{\mathrm{mm}}(\text { helium })}{v_{\mathrm{rms}}(\operatorname{argon})}\right]\) is close to

1 2.24
2 0.32
3 0.45
4 3.16
PHXI13:KINETIC THEORY

360228 At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule \((m) = 2.76 \times {10^{ - 26}} kg\), Boltzmann's constant \({k_B} = 1.38 \times {10^{ - 23}}J{K^{ - 1}})\)

1 \(5.016 \times 10^{4} K\)
2 \(1.254 \times 10^{4} K\)
3 \(83.6 \times 10^{3} K\)
4 \(2.508 \times 10^{4} K\)
PHXI13:KINETIC THEORY

360229 At room temperature a diatomic gas is found to have an r.m.s speed of \(1930 \,\,m{s^{ - 1}}\). The gas is

1 \({H_2}\)
2 \(C{l_2}\)
3 \({O_2}\)
4 \({F_2}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI13:KINETIC THEORY

360225 If the \(rms\) speed, of molecules of an ideal gas is ' \(v\) ', what is the average speed of the molecules at the same temperature

1 \(\sqrt{\dfrac{8}{3 \pi}} v\)
2 \(\sqrt{\dfrac{2}{3}} v\)
3 \(v\)
4 \(\dfrac{3 v}{2}\)
PHXI13:KINETIC THEORY

360226 The temperature of an ideal gas is increased from \(27^\circ {\rm{ }}C\) to \(127^\circ {\rm{ }}C\), then percentage increase in \(v_{r m s}\) is

1 \(11 \%\)
2 \(33 \%\)
3 \(37 \%\)
4 \(15.5 \%\)
PHXI13:KINETIC THEORY

360227 A mixture of 2 moles of helium gas \((atomic\,{\mkern 1mu} mass = 4\,\,u)\), and 1 mole of argon gas \((atomic\,{\mkern 1mu} mass = 40\,\,u)\) is kept at \(300 K\) in a container. The ratio of their rms speeds \(\left[\dfrac{v_{\mathrm{mm}}(\text { helium })}{v_{\mathrm{rms}}(\operatorname{argon})}\right]\) is close to

1 2.24
2 0.32
3 0.45
4 3.16
PHXI13:KINETIC THEORY

360228 At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule \((m) = 2.76 \times {10^{ - 26}} kg\), Boltzmann's constant \({k_B} = 1.38 \times {10^{ - 23}}J{K^{ - 1}})\)

1 \(5.016 \times 10^{4} K\)
2 \(1.254 \times 10^{4} K\)
3 \(83.6 \times 10^{3} K\)
4 \(2.508 \times 10^{4} K\)
PHXI13:KINETIC THEORY

360229 At room temperature a diatomic gas is found to have an r.m.s speed of \(1930 \,\,m{s^{ - 1}}\). The gas is

1 \({H_2}\)
2 \(C{l_2}\)
3 \({O_2}\)
4 \({F_2}\)
PHXI13:KINETIC THEORY

360225 If the \(rms\) speed, of molecules of an ideal gas is ' \(v\) ', what is the average speed of the molecules at the same temperature

1 \(\sqrt{\dfrac{8}{3 \pi}} v\)
2 \(\sqrt{\dfrac{2}{3}} v\)
3 \(v\)
4 \(\dfrac{3 v}{2}\)
PHXI13:KINETIC THEORY

360226 The temperature of an ideal gas is increased from \(27^\circ {\rm{ }}C\) to \(127^\circ {\rm{ }}C\), then percentage increase in \(v_{r m s}\) is

1 \(11 \%\)
2 \(33 \%\)
3 \(37 \%\)
4 \(15.5 \%\)
PHXI13:KINETIC THEORY

360227 A mixture of 2 moles of helium gas \((atomic\,{\mkern 1mu} mass = 4\,\,u)\), and 1 mole of argon gas \((atomic\,{\mkern 1mu} mass = 40\,\,u)\) is kept at \(300 K\) in a container. The ratio of their rms speeds \(\left[\dfrac{v_{\mathrm{mm}}(\text { helium })}{v_{\mathrm{rms}}(\operatorname{argon})}\right]\) is close to

1 2.24
2 0.32
3 0.45
4 3.16
PHXI13:KINETIC THEORY

360228 At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule \((m) = 2.76 \times {10^{ - 26}} kg\), Boltzmann's constant \({k_B} = 1.38 \times {10^{ - 23}}J{K^{ - 1}})\)

1 \(5.016 \times 10^{4} K\)
2 \(1.254 \times 10^{4} K\)
3 \(83.6 \times 10^{3} K\)
4 \(2.508 \times 10^{4} K\)
PHXI13:KINETIC THEORY

360229 At room temperature a diatomic gas is found to have an r.m.s speed of \(1930 \,\,m{s^{ - 1}}\). The gas is

1 \({H_2}\)
2 \(C{l_2}\)
3 \({O_2}\)
4 \({F_2}\)