{"id":197753,"date":"2025-03-07T15:31:43","date_gmt":"2025-03-07T15:31:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=197753"},"modified":"2025-03-07T15:31:45","modified_gmt":"2025-03-07T15:31:45","slug":"an-auditorium-is-be-designed-for-a-capacity-of-102-persons-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/07\/an-auditorium-is-be-designed-for-a-capacity-of-102-persons-2\/","title":{"rendered":"An auditorium is be designed for a capacity of 102 persons"},"content":{"rendered":"\n

An auditorium is be designed for a capacity of 102 persons. Inside design conditions are 23 degrees celcius DBT and 55% RH, outside conditions 30 degrees celcius DBT and 70% RH, amount of required for one person 0.5 cubic meter per minute. Design equipment; capacity of the cooler battery, capacity of heater battery and amount of water removed by the dehumidifier.<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

Designing an HVAC system for an auditorium with a capacity of 102 persons requires careful consideration of airflow, temperature control, and humidity management. Here’s a detailed breakdown:<\/p>\n\n\n\n

1. Airflow Requirements:<\/strong><\/p>\n\n\n\n

Each person requires 0.5 cubic meters of air per minute. For 102 persons, the total airflow is:<\/p>\n\n\n\n

[ 102 \\, \\text{persons} \\times 0.5 \\, \\frac{\\text{m}^3}{\\text{min\/person}} = 51 \\, \\frac{\\text{m}^3}{\\text{min}} ]<\/p>\n\n\n\n

Converting this to cubic feet per minute (CFM):<\/p>\n\n\n\n

[ 51 \\, \\frac{\\text{m}^3}{\\text{min}} \\times 33.48 \\, \\frac{\\text{CFM}}{\\text{m}^3\/\\text{min}} \\approx 1,709 \\, \\text{CFM} ]<\/p>\n\n\n\n

2. Cooling Load Calculation:<\/strong><\/p>\n\n\n\n

The sensible heat gain due to temperature difference between outside and inside air can be calculated using the formula:<\/p>\n\n\n\n

[ Q = \\dot{V} \\times \\Delta T \\times 1.08 ]<\/p>\n\n\n\n

Where:<\/p>\n\n\n\n