This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
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Hey, good to see you again. Here are the solutions to the questions: (ii) Write a balanced nuclear equation for the -emission of carbon-14. In -emission (beta decay), a neutron in the nucleus transforms into a proton, emitting an electron (^0_-1e) and an antineutrino. The mass number remains the same, and the atomic number increases by 1. ^14_6C ^14_7N + ^0_-1e The daughter nucleus is Nitrogen-14. ^14_6C ^14_7N + ^0_-1e (iii) Calculate the mass that remains when a 3.20 g sample of carbon-14 undergoes decay for 11460 years. Step 1: Identify the given values. Initial mass, N_0 = 3.20 g Time elapsed, t = 11460 years Half-life of carbon-14, t_1/2 = 5730 years (from the context above the question) Step 2: Calculate the number of half-lives (n) that have occurred. n = (t)/(t_1/2) n = 11460 years5730 years n = 2 Step 3: Use the formula for remaining mass after n half-lives. N(t) = N_0 ((1)/(2))^n N(t) = 3.20 g × ((1)/(2))^2 N(t) = 3.20 g × (1)/(4) N(t) = 0.80 g The mass that remains is 0.80 g. 0.80 g (c)(i) State the experimental method used in the determination of the molar mass of the liquid. The experimental method described, involving the vaporization of a known mass of a volatile liquid and measuring its volume, temperature, and pressure, is typically known as the Victor Meyer method or Dumas method. It relies on the Ideal Gas Law. Victor Meyer method (or Dumas method) (c)(ii) Calculate the molar mass of the liquid. Step 1: Identify the given values and convert units where necessary. Mass of liquid, m = 1.25 g Temperature, T = 75 °C = 75 + 273.15 = 348.15 K Pressure, P = 1.1 atm Volume of vapour, V = 365 cm^3 = 0.365 L Ideal gas constant, R = 0.08206 L atm mol^-1 K^-1 Step 2: Use the Ideal Gas Law, PV = nRT, where n = (m)/(M) (moles = mass/molar mass). Rearrange the formula to solve for molar mass (M): PV = (m)/(M)RT M = (mRT)/(PV) Step 3: Substitute the values into the formula and calculate M. M = (1.25 g)(0.08206 L atm mol^-1 K^-1)(348.15 K)(1.1 atm)(0.365 L) M = 35.78037875 g L atm mol^-10.4015 L atm M ≈ 89.12 g/mol The molar mass of the liquid is approximately 89.1 g/mol. 89.1 g/mol Send me the next one 📸