When nitrogen gas (\( \text{N}_2 \)) reacts with calcium carbide (\( \text{CaC}_2 \)), the product formed is calcium cyanide (\( \text{CaCN}_2 \)) along with carbon. This reaction is commonly known as the formation of calcium cyanide, and it occurs under high temperatures. Let's break down the reaction and the process involved:
The chemical equation for the reaction is as follows:
\(\text{CaC}_2 + \text{N}_2 \rightarrow \text{CaCN}_2 + \text{C}\)
In the reaction, the calcium carbide (\( \text{CaC}_2 \)) reacts with nitrogen gas (\( \text{N}_2 \)) under high temperature conditions to form calcium cyanide (\( \text{CaCN}_2 \)) and carbon. The reaction proceeds as follows:
\(\text{CaC}_2 + \text{N}_2 \rightarrow \text{CaCN}_2 + \text{C}\)
Calcium cyanide has several important industrial uses:
In summary, when calcium carbide (\( \text{CaC}_2 \)) reacts with nitrogen gas (\( \text{N}_2 \)), it produces calcium cyanide (\( \text{CaCN}_2 \)) and carbon. This reaction plays an important role in industrial chemistry, especially in the production of materials used in gold extraction and chemical synthesis.
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained at temperature 3T and the right end at T. The rods are thermally insulated from outside. In steady state, temperature at the left junction is \(T_1\) and that at the right junction is \(T_2\). The ratio \(T_1 / T_2\) is 
