Rate-constant expression for a first-order gas reaction in terms of pressures

1. A.
   $k = \frac{2.303}{t} \times \log\frac{P_{i}}{\left( 2P_{i} - P_{t} \right)}$
2. B.
   $k = \frac{2.303}{t} \times \log\frac{2P_{i}}{\left( 2P_{i} - P_{t} \right)}$
3. C.
   $k = \frac{2.303}{t} \times \log\frac{\left( 2P_{i} - P_{t} \right)}{P_{i}}$
4. D.
   $k = \frac{2.303}{t} \times \frac{P_{i}}{\left( 2P_{i} - P_{t} \right)}$

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1. A.
   $k = \frac{1}{t}\ln\frac{2\left( p_{\infty} - P_{t} \right)}{P_{t}}$
2. B.
   $k = \frac{1}{t}\ln\frac{p_{\infty}}{P_{t}}$
3. C.
   $k = \frac{1}{t}\ln\frac{p_{\infty}}{2\left( p_{\infty} - P_{t} \right)}$
4. D.
   $k = \frac{1}{t}\ln\frac{p_{\infty}}{\left( p_{\infty} - P_{t} \right)}$

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1. A.
   $\frac{1}{t}\ln\frac{p_{i}}{2p_{i} - p_{t}}$
2. B.
   $\frac{1}{t}\ln\frac{2p_{i}}{p_{i} - p_{t}}$
3. C.
   $\frac{1}{t}\ln\frac{p_{i}}{3p_{i} - 2p_{t}}$
4. D.
   $\frac{1}{t}\ln\frac{3p_{i}}{4p_{i} - p_{t}}$

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