TS EAMCET · Chemistry · Chemical Kinetics
The half-life of a first order reaction varies with temperature according to
- A \(\ln \left(t_{1 / 2}\right) \propto \frac{1}{T}\)
- B \(\ln \left(t_{1 / 2}\right) \propto T\)
- C \(\left(t_{1 / 2}\right) \propto \frac{1}{T^2}\)
- D \(\left(t_{1 / 2}\right) \propto T^2\)
Answer & Solution
Correct Answer
(A) \(\ln \left(t_{1 / 2}\right) \propto \frac{1}{T}\)
Step-by-step Solution
Detailed explanation
For a first order reaction, \(t_{1 / 2}=\frac{0.693}{k}\) Again, from Arrhenius equation, \(\Rightarrow\) Replacing \(\ln k\) in Eq. (i),…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- Maximum number of electrons in a subshell with \(n=4\) and \(l=3\) isTS EAMCET 2020 Easy
- The strongest acid among the following isTS EAMCET 2018 Easy
- The \(E^{\circ}\) of \(\begin{aligned}\mathrm{Ce}^{4+} / \mathrm{Ce}^{3+}=1.6 \mathrm{~V} \ \mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}=0.76 \mathrm{~V}\end{aligned}\)
the \(\mathrm{E}^{\circ}\) of \(\mathrm{Fe}^{3+}\) oxidising \(\mathrm{Ce}^{3+}\) isTS EAMCET 2022 Medium - What is the slag formed during the extraction of iron?TS EAMCET 2018 Medium
- For the reaction at \(25^{\circ} \mathrm{C}, \mathrm{X}_2 \mathrm{O}_4(\mathrm{l}) \longrightarrow 2 \mathrm{XO}_2(\mathrm{~g}), \Delta \mathrm{U}\) and \(\Delta \mathrm{S}\) are \(2.1 \mathrm{~K}\). Cal and \(20 \mathrm{Cal} / \mathrm{K}\) respectively. What is \(\Delta \mathrm{G}\) for the reaction at the same temperature? \((\mathrm{R}=2 \mathrm{Cal}\) \(\left.\mathrm{K}^{-1} \mathrm{~mol}^{-1}\right)\)TS EAMCET 2023 Medium
- grams of a gas at and pressure occupies a volume of . The gas can beTS EAMCET 2020 Easy
More PYQs from TS EAMCET
- The angle between the tangents drawn from the point \((1,4)\) to the parabola \(y^2=4 x\) isTS EAMCET 2019 Easy
- A ball of mass \(0.2 \mathrm{~kg}\) is thrown from a height of \(1 \mathrm{~m}\) and with an initial velocity of \(\sqrt{10} \mathrm{~m} / \mathrm{s}\) at an angle of \(45^{\circ}\) with the horizontal. Assuming, acceleration due to gravity \(g=10 \mathrm{~m} /\) \(\mathrm{s}^2\), then modulus of momentum increment during the total time of motion in \(\mathrm{kg} \mathrm{m} / \mathrm{s}\) isTS EAMCET 2018 Easy
- \((1,1)\) is the vertex and \(x+y+1=0\) is the directrix of a parabola. If \((a, b)\) is its focus and \((c, d)\) is the point of intersection of the directrix and the axis of the parabola, then \(a+b+c+d=\)TS EAMCET 2024 Medium
- If \(f\) is defined on \(\mathbb{R}\) such that \(f(\mathrm{x}) f(-\mathrm{x})=9\), then \(\int_{-23}^{23} \frac{d x}{3+f(x)}\)TS EAMCET 2023 Hard
- Assertion \(\int_{-a}^a f(x) d x=\int_0^a(f(x)+f(-x)) d x\) Reason (R) \(\int_a^b f(x) d x=\int_{g(a)}^{g(b)} f(g(u)) g^{\prime}(u) d u\) The correct option among the following isTS EAMCET 2020 Easy
- If \(0 < \theta < \frac{\pi}{2}\), then solution of the equation \(\sin \theta-3 \sin 2 \theta+\sin 3 \theta=\cos \theta-3 \cos 2 \theta+\cos 3 \theta\) isTS EAMCET 2018 Medium