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.
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :