Hydrogen diffused through a porous plug
thrice as fast as oxygen
at the same speed as oxygen
four times as fast as oxygen
twice as fast as oxygen
Correct answer is C
Using Graham's Law of Diffusion,
\(\frac{R_1}{R_2} = \sqrt{\frac{m_2}{m_1}}\)
\(\frac{R_H}{R_O} = \sqrt{\frac{m_O}{m_H}}\)
\(\frac{R_H}{R_O} = \sqrt{\frac{32}{2}}\)
\(\frac{R_H}{R_O} = \sqrt{16} = 4\)
\(\therefore R_H = 4 \times R_O\)
Therefore, hydrogen diffuses 4 times faster than oxygen.
The emission of two successive beta particles from the nucleus \(^{32} _{15} P\) will produce
\(^{30} _{14}\)Si
\(^{32} _{13}\)Al
\(^{32} _{17}\)Cl
\(^{32} _{16}\)S
Correct answer is C
\(^{32} _{15}\)P \(\to\) 2\(^{0} _{-1}\)e + \(^{a} _{b}\)X
32 = 2(0) + a
a = 32
15 = 2(-1) + b
b = 15 + 2
b = 17
\(\therefore\) \(^{a} _{b}\)X = \(^{32} _{17}\)Cl
The velocity, V of a gas is related to its mass, M by (k = proportionality constant)
V = \(\frac{k}{M}\)
V = \(\frac{k}{M^{\frac{1}{2}}}\)
V = \(kM^2\)
V = \((\frac{k}{M})^{\frac{1}{2}}\)
Correct answer is B
Recall:
V = \(\sqrt{\frac{3RT}{M}}\)
\(\therefore V \propto \frac{1}{\sqrt{M}}\)
\(V = \frac{k}{\sqrt{M}}\)
V = \(\frac{k}{M^{\frac{1}{2}}}\)
HCOOH
NaHCO\(_3\)
FeCO\(_3\)
H\(_2\)C\(_2\)O\(_4\)
Correct answer is D
It should be noted that for X to liberate CO\(_2\), X must be a carbonate or an oxalate. Since X decolorizes KMnO\(_4\), X must be an oxalate.
Therefore, X is H\(_2\)C\(_2\)O\(_4\).
Which of the following conditions will most enhance the spontaneity of a reaction?
\(\Delta\)H is negative and greater than T\(\Delta\)S
\(\Delta\)H is negative and \(\Delta\)S = 0
\(\Delta\)H is positive and less than T\(\Delta\)S
\(\Delta\)H is positive and equal to T\(\Delta\)S
Correct answer is A
No explanation has been provided for this answer.